The resonant interaction of sound waves with a large amplitude entropy wave

Authors
Ali, G Hunter, JK
Citation
G. Ali et Jk. Hunter, The resonant interaction of sound waves with a large amplitude entropy wave, SIAM J A MA, 61(1), 2000, pp. 131-148
Citations number
17
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
61
Issue
1
Year of publication
2000
Pages
131 - 148
Database
ISI
SICI code
0036-1399(20000719)61:1<131:TRIOSW>2.0.ZU;2-3
Abstract
We derive an asymptotic solution of the one-dimensional compressible Euler equations that describe the resonant interaction of small amplitude sound w aves with a large amplitude entropy wave. The large entropy variations are assumed to occur only in small regions. We show that the sound wave amplitu des satisfy a two-by-two system of strictly hyperbolic partial differential equations with a quadratic flux.